Download 1. (Similar to Problem 2.1) Three equal charges, q, are situated at

1. (Similar to Problem 2.1) Three equal charges, q, are situated at the corners of an equilateral
triangle. What is the net force on each charge due to other two charges? (The length of each
side of the triangle is a)
2. (Similar to Problem 2.3) Find the z-component of the electric field a distance z above one end
of a straight line segment of L (Figure 2.7), which carries a uniformly changing line charge λ =
kx.
3. (Similar to Example 2.3) A long cylinder (Fig. 2.21) carries a charge density that is
proportional to the distance from the axis ρ = k , for some constant k. Find the electric field
inside this cylinder.
4. (Similar to Problem 2.12) Use Gauss’ law to find the electric field inside a uniformly charged
solid sphere (charge density ρ). What would the electric field inside be if the charge were not
uniformly distributed and the sphere were conductive?
5. (Similar to Problem 2.21) Find the potential inside and outside a uniformly charged solid
sphere whose radius is R and whose total charge is q.
6. (Similar to Problem 2.22) Find the potential difference between two points at a distance s
and from an infinitely long straight wire that carries a uniform line charge λ.
7. (Similar to Problem 2.31) a) Three charges are situated at the corners of a square (side a) as
shown in Fig 2.41. How much work does it take to bring in another charge, -q, from far away
and place it in the fourth corner? b) How much work does it take to assemble the whole
configuration of four charges?
8. (Similar to Example 2.8) Find the energy of a uniformly charged solid sphere of total charge q
and radius R. (Use the answer of Problem 5)
9. (Similar to Problem 2.39) Find the capacitance of two coaxial metal cylindirical tubes, of
length L and radii a and b (Fig. 2.53)
10. (Similar to Problem 2.46) The electric potential of some configuration is given by the
expression
V(r) =
-B
where A and B are constants. Find the electric field E(r) and the charge distribution ρ(r).